![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Marcelo De Martino (Oxford)
Wednesday 02 May 2018, 16:30-17:30
On a theory of Dirac operators for rational Cherednik algebras
- 👤 Speaker: Marcelo De Martino (Oxford)
- 📅 Date & Time: Wednesday 02 May 2018, 16:30 - 17:30
- 📍 Venue: MR12
Abstract
In this joint work with D. Ciubotaru, we introduce the notions of local and global indices of Dirac operators for a rational Cherednik algebra H, with underlying reflection group G. In the local theory, I will report on some relations between the (local) Dirac index of a simple module in category O, the graded G-character and the composition series polynomials for standard modules. In the global theory, we introduce an “integral-reflection” module over which we define and compute the index of a (global) Dirac operator and show that the index is independent of the parameters. If time permits, I will discuss some local-global relations.
Series This talk is part of the Algebra and Representation Theory Seminar series.
Included in Lists
- Algebra and Representation Theory Seminar
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- MR12
- School of Physical Sciences
Note: Ex-directory lists are not shown.